Question

Let X represent the time it takes from when someone enters the line for a roller...

Let X represent the time it takes from when someone enters the line for a roller coaster until they exit on the other side. Consider the probability model defined by the cumulative distribution function given below.


0 x < 3
F(x) = (x-3)/1.08 3 < x < 4.08
1 x > 4.08



a) What is E(X)? Give your answer to three decimal places.  

b) What is the value c such that P(X < c) = 0.78? Give your answer to four decimal places.  

c) What is the probability that X falls within 0.26 minutes of its mean? Give your answer to four decimal places.

Math   Statistics-And-Probability   
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